This groundbreaking monograph in advanced algebra addresses crossed products. Author
Donald S. Passman notes that crossed products have advanced from their first occurrence in …

Unitary error bases generalize the Pauli matrices to higher dimensional systems. Two basic
constructions of unitary error bases are known: An algebraic construction by Knill that yields …

Let k be a field of odd prime characteristic p. We calculate the Lie algebra structure of the
first Hochschild cohomology of a class of quantum complete intersections over k. As a …

We consider fine group gradings on the algebra $ M_n (\mathbb {C}) $ of $ n $ by $ n $
matrices over the complex numbers and the corresponding graded polynomial identities …

Maximal connected grading classes of a finite-dimensional algebra $ A $ are in one-to-one
correspondence with Galois covering classes of $ A $ which admit no proper Galois …

Let k be an algebraically closed field of characteristic p. We give a general method for
producing examples of blocks B of finite group algebras that are not Morita equivalent as k …

A natural permutation representation for any finite group is the conjugating representation T:
for each g∈ G, T (g) is the permutation on the set {x∣ x∈ G} given by T (g)(x)= gxg− 1 …

A finite group G is of central type (in the non-classical sense) if it admits a non-degenerate
cohomology class [c]∈ H 2 (G, ℂ*)(G acts trivially on ℂ*). Groups of central type play a …

All groups considered are finite, y denotes a prime, and Irr (G) is the set of ordinary
irreducible characters of G. For a p-block B of G, there is a conjugacy class of p-subgroups …

The representation dimension of a finite group $ G $ is the minimal dimension of a faithful
complex linear representation of $ G $. We prove that the representation dimension of any …